Finding the Third Proportional to 4,215.75 and 5,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,215.75 : 5,995.50 = 5,995.50 : x
2. Step 2: Convert to fraction form
   4,215.75/5,995.50 = 5,995.50/x
3. Step 3: Cross multiply
   4,215.75x = 5,995.50 × 5,995.50
4. Step 4: Simplify right side
   4,215.75x = 35,946,020.25
5. Step 5: Solve for x
   x = 35,946,020.25/4,215.75
6. Step 6: Final answer
   x = 8,526.60